The suspect, Travis Beckford, 17, of Brooklyn was being questioned by cops after he was picked up at Tilden High School. He has yet to be charged, sources said. Meanwhile, two other suspects in the shocking crime told investigators that the five youths came across the young woman as she was having sex with her father in the Osborn Playground in Brownsville around 9 p.m. Thursday, sources said.

“Can we have some of that?” one asked the dad, who was allegedly drunk and had been boozing with his daughter before the attack, sources said.

Two of the teens say they then had consensual sex with the victim while her sloshed dad staggered away.

The dad returned and chucked a bottle at the teens, who fled, said one of the suspects, according to the sources. The victim, the sources added, was combative, tried to flee from cops at the scene and bit an officer when she was finally placed in an ambulance after first refusing to go to the hospital and fighting with EMS.The woman claimed to have bipolar disorder and post-traumatic stress disorder, but was not prescribed any medicines.

Police observed multiple healed scars on the victim’s arms.

Once she arrived at Kings County Hospital, she finally consented to a rape kit test.

Cops took her clothing and underwear, which they found at the scene, for DNA testing.

The four teens were all charged as adults and were being held pending arraignment early Tuesday.

Two of the teens were brought in by their mothers Sunday night, the third was picked up at an undisclosed location and the fourth turned himself in, sources said.

“She has cuts and bruises consistent with being physically attacked,” a source added of the victim.

Police said the girl told detectives in a “detailed interview” at her house that one of her attackers had a bright red “satin-type’’ jacket on.

A video of the teens at a local bodega shows at least one of them wearing such a jacket, police said.

While two of the teens claim they engaged in consensual sex with her, a third suspect said he left the playground before the assault, sources said. The fourth teen is refusing to talk.

Police said they have video that shows the girl and her dad buying 22-ounce cans of beer at a bodega and entering the park before the attack.

The victim told cops that she and her 39-year-old dad — whom she only recently reconnected with after being adopted — were drinking near the handball courts “to be away from the police,” sources said.

Their plan backfired when the teens, including one with a gun, confronted them and ordered the father to scram, the pair told cops.

Surveillance video from the store shows the victim’s father walking inside before he begins to chat with two men. He does not appear to be frantic or in distress.

After walking out of the store, the dad drunkenly ran past a marked police car before eventually circling back and alerting the cops to his daughter’s attack — 20 minutes after the alleged rape first began to unfold, sources said.

“The mayor was informed on Sunday of the tragic assault in Brooklyn. After further conversations with the NYPD, the mayor now believes strongly that the local community should have been informed sooner and has instructed that the NYPD notify communities more quickly moving forward, whenever appropriate,” a rep said.